To solve the inequality \( x + 123 > 4 \), we first isolate \( x \):
\[ x + 123 > 4 \]
Subtract \( 123 \) from both sides:
\[ x > 4 - 123 \]
\[ x > -119 \]
This means the solution to the inequality is \( x > -119 \).
On a number line, this is represented by an open circle at -119 (indicating that -119 is not included in the solution) and a shaded line extending to the right, indicating all numbers greater than -119 are part of the solution.
If given a set of options, look for a graph that has an open circle at -119 and a line extending to the right from that point.